Answer:
720
Step-by-step explanation:
Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).
P(10,3)=10! / (10-3)!
= 10!/7!
Rewrite 10
! as
10 * 9 * 8 * 7
! / 7!
Cancel the common factor of 7
! and divide (
10 * 9 * 8
) by 1
10 * 9 * 8 = 720
It looks like ∆ is defined as
<em>a</em> ∆ <em>b</em> = (<em>a</em> + <em>b</em>)² + 5
If that's the case, then
1 ∆ (-4) = (1 + (-4))² + 5 = (-3)² + 5 = 9 + 5 = 14
Answer:
A. Yes, the triangles are congruent by SAS.
Step-by-step explanation:
EF = FG and DF = FH-> Given
angle EFD = angle HFG -> Vertical angles are congruent
DE F = HGF -> SAS Triangle Congruence Theorem
1.) slope=2
2.) slope= -5/4
3.) slope= 7/5
